If ${x^p}{y^q} = {\left( {x + y} \right)^{p + q}}$, then $\frac{{dy}}{{dx}}$ is equal to

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

{x^p}{y^q} = {\left( {x + y} \right)^{p + q}}

, then

\frac{{dy}}{{dx}}

is equal to

View answer and explanation

Correct option: A

\frac{y}{x}

Option A,

\frac{y}{x}

, is correct because it is the simplified result of differentiating the given equation

{x^p}{y^q} = {\left( {x + y} \right)^{p + q}}

implicitly with respect to x.

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